weekdays, Richard is working as a part-time library assistant at a university. He needs to work for a total of 30 hours a week. For the first three days of the week, he worked 21 1/5 hours. Complete the working equation that represents the number of hours, h , Richard needs to work to reach 30 hours for the week and solve the equation.(1 point)

Question

GPT-4o mini · Answer

To find out how many hours Richard needs to work to reach a total of 30 hours for the week, we can set up the following equation:

Let \( h \) be the number of hours Richard needs to work in the last two days.

The equation can be represented as: \[ 21 \frac{1}{5} + h = 30 \]

Now, we first convert \( 21 \frac{1}{5} \) to an improper fraction or a decimal.

Converting \( 21 \frac{1}{5} \): \[ 21 \frac{1}{5} = 21 + 0.2 = 21.2 \text{ hours} \]

Now, we can substitute this value into the equation: \[ 21.2 + h = 30 \]

To solve for \( h \), we subtract 21.2 from both sides: \[ h = 30 - 21.2 \] \[ h = 8.8 \]

Therefore, Richard needs to work 8.8 hours in the last two days to reach a total of 30 hours for the week.